22138261344 has 72 divisors (see below), whose sum is σ = 63081253872. Its totient is φ = 7364701440.

The previous prime is 22138261333. The next prime is 22138261351. The reversal of 22138261344 is 44316283122.

22138261344 is a `hidden beast` number, since 2 + 2 + 1 + 38 + 2 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22138261299 and 22138261308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68454 + ... + 221274.

It is an arithmetic number, because the mean of its divisors is an integer number (876128526).

Almost surely, 2^22138261344 is an apocalyptic number.

22138261344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540626936).

22138261344 is an abundant number, since it is smaller than the sum of its proper divisors (40942992528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22138261344 is a wasteful number, since it uses less digits than its factorization.

22138261344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153340 (or 153329 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 22138261344 in words is "twenty-two billion, one hundred thirty-eight million, two hundred sixty-one thousand, three hundred forty-four".